Distributions on Riemannian manifolds, which are harmonic maps.

DOI10.2748/tmj/1113246937zbMath1041.53041OpenAlexW2048979353WikidataQ115227304 ScholiaQ115227304MaRDI QIDQ1411694

Boo-Yong Choi, Jin-Whan Yim

Publication date: 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246937

zbMATH Keywords

distributionEuler-Lagrange equationsharmonic maphomogeneous spaceHopf fibrationtension fieldGrassmannian bundleRiemannian fibration

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (6)

Energy of generalized distributions ⋮ Harmonic almost contact structures ⋮ Harmonicity and minimality of distributions on Riemannian manifolds via the intrinsic torsion ⋮ Two notes on harmonic distributions ⋮ Harmonicity and minimality of complex and quaternionic radial foliations ⋮ Harmonicity and minimality of oriented distributions

Cites Work

• Harmonic Gauss maps
• On harmonic vector fields
• Riemannian submersions with totally geodesic fibers
• Unit vector fields on spheres, which are harmonic maps
• Optimal pinching constants of odd dimensional homogeneous spaces
• The fundamental equations of a submersion
• The Gauss Section of a Riemannian Immersion
• Another Report on Harmonic Maps
• A Report on Harmonic Maps
• Volume-preserving great circle flows on the 3-sphere
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